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Paha777 [63]
3 years ago
11

Which graph shows the solution to the system of linear inequalities?

Mathematics
2 answers:
EastWind [94]3 years ago
7 0

Answer:

it's A on e2020

Step-by-step explanation:

i don't know what that other guy is talking about

andrey2020 [161]3 years ago
6 0

Answer:

None of them

Step-by-step explanation:

Both inequalities are shown with < (less than) symbols. Thus the boundary line on both plots of the solution graph should be dashed (not solid) lines. The best choice is the last graph (attached), but the marked line should be dashed, not solid.

The first inequality can be rewritten as ...

... y > (1/4)x -1

The y-intercept of the boundary line will be -1, and the slope of it will be 1/4. Since the inequality symbol is > (not ≥), the boundary line should be dashed. The acceptable values of y are greater than those on the line, so the (blue) shading will be above the line.

The second inequality has a boundary line with a slope of 1 and a y-intercept of +1. Since the inequality symbol is < (not ≤), the boundary line should be dashed (as it is in the attached graph). Acceptable values of y are less than those on the line, so the (red) shading will be below the line.

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You know that the battery in your alarm clock is going to run out of power soon. If it runs out within the next 24 hours, what i
aivan3 [116]
The probability of an event is given by the number of favorable outcomes divided by the total number of outcomes. Here the event is the alarm clock running out of power. There are 24 hours during which the power can go out. You are asleep during 8 of these. A "favorable" outcome in this case is the power going out while you are sleeping -- that is, during one of those 8 hours. This makes the probability that the power goes out while you are sleeping 8/24.
3 0
3 years ago
Calculate pt3 such that a line from pt1 to pt3 is perpendicular to the line from pt1 to pt2, and the distance between pt1 and pt
Leni [432]
Let the point_1 = p₁ = (1,4)
and      point_2 = p₂ = (-2,1)
and      Point_3 = p₃ = (x,y)

The line from point_1 to point_2 is L₁ and has slope = m₁
The line from point_1 to point_3 is L₂ and has slope = m₂
m₁ = Δy/Δx = (1-4)/(-2-1) = 1
m₂ = Δy/Δx = (y-4)/(x-1)
L₁⊥L₂ ⇒⇒⇒⇒ m₁ * m₂ = -1
∴ (y-4)/(x-1) = -1 ⇒⇒⇒ (y-4)= -(x-1)
(y-4) = (1-x) ⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ equation (1)

The distance from point_1 to point_2 is d₁
The distance from point_1 to point_3 is d₂
d = \sqrt{Δx^2+Δy^2}
d₁ = \sqrt{(-2-1)^2+(1-4)^2}
d₂ = \sqrt{(x-1)^2+(y-4)^2}
d₁ = d₂
∴ \sqrt{(-2-1)^2+(1-4)^2} = \sqrt{(x-1)^2+(y-4)^2} ⇒⇒ eliminating the root
∴(-2-1)²+(1-4)² = (x-1)²+(y-4)²
 (x-1)²+(y-4)² = 18
from equatoin (1)  y-4 = 1-x
∴(x-1)²+(1-x)² = 18            ⇒⇒⇒⇒⇒ note: (1-x)² = (x-1)²
2 (x-1)² = 18
(x-1)² = 9
x-1 = \pm \sqrt{9} = \pm 3
∴ x = 4 or x = -2
∴ y = 1 or y = 7

Point_3 = (4,1)  or  (-2,7)












8 0
3 years ago
Find a polynomial function of the lowest degree, with real coefficients, with the given roots.
makvit [3.9K]

Answer:

D

Step-by-step explanation:

Roots into factors:

x = -4 ----> (x + 4)

x = i -----> (x - i)

x = 5 -----> (x - 5)

(x + i)(x - 4)(x + 5)

(x - i)(x² - 4x + 5x - 20)

(x - i)(x² + x - 20)

x³ + x² - 20x - (ix² + ix - 20i)

x³ + (1 - i)x² - (20 + i)x + 20i

5 0
2 years ago
Each chicken eats about 6 pounds of chicken feed in a month.how many pounds of chicken feed will be left after 3 months? Write a
NARA [144]
Dear Vegafred77, use 3x6=18 since a chicken eats 6 lbs of chicken.
6 0
3 years ago
4 more than the quotient of 7 and m
tangare [24]

Answer:

4+ 7/m

Step-by-step explanation:

there might be parentheses but this is what the expression  would look like

3 0
2 years ago
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